TY - JOUR
T1 - Subtracting infrared renormalons from Wilson coefficients
T2 - Uniqueness and power dependences on ΛqCD
AU - Mishima, Go
AU - Sumino, Yukinari
AU - Takaura, Hiromasa
N1 - Funding Information:
The works of G.M. and Y.S. were supported in part by JSPS KAKENHI Grant No. 14J10887 and by Grant-in-Aid for scientific research (Grant No. 26400238) from MEXT, Japan, respectively.
Publisher Copyright:
© 2017 American Physical Society.
PY - 2017/6/1
Y1 - 2017/6/1
N2 - In the context of operator product expansion (OPE) and using the large-β0 approximation, we propose a method to define Wilson coefficients free from uncertainties due to IR renormalons. We first introduce a general observable X(Q2) with an explicit IR cutoff, and then we extract a genuine UV contribution XUV as a cutoff-independent part. XUV includes power corrections ∼(ΛQCD2/Q2)n which are independent of renormalons. Using the integration-by-regions method, we observe that XUV coincides with the leading Wilson coefficient in OPE and also clarify that the power corrections originate from UV region. We examine scheme dependence of XUV and single out a specific scheme favorable in terms of analytical properties. Our method would be optimal with respect to systematicity, analyticity and stability. We test our formulation with the examples of the Adler function, QCD force between QQ, and R-ratio in e+e- collision.
AB - In the context of operator product expansion (OPE) and using the large-β0 approximation, we propose a method to define Wilson coefficients free from uncertainties due to IR renormalons. We first introduce a general observable X(Q2) with an explicit IR cutoff, and then we extract a genuine UV contribution XUV as a cutoff-independent part. XUV includes power corrections ∼(ΛQCD2/Q2)n which are independent of renormalons. Using the integration-by-regions method, we observe that XUV coincides with the leading Wilson coefficient in OPE and also clarify that the power corrections originate from UV region. We examine scheme dependence of XUV and single out a specific scheme favorable in terms of analytical properties. Our method would be optimal with respect to systematicity, analyticity and stability. We test our formulation with the examples of the Adler function, QCD force between QQ, and R-ratio in e+e- collision.
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U2 - 10.1103/PhysRevD.95.114016
DO - 10.1103/PhysRevD.95.114016
M3 - Article
AN - SCOPUS:85022346085
SN - 2470-0010
VL - 95
JO - Physical Review D
JF - Physical Review D
IS - 11
M1 - 114016
ER -